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Finding the Fourth Proportional to 198,193.70, 297,335.99 and 85,892.78

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Solution

The fourth proportional to 198,193.70, 297,335.99 and 85,892.78 is: 128,858.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,193.70 : 297,335.99 = 85,892.78 : x
  2. Step 2: Convert to fraction form
    198,193.70/297,335.99 = 85,892.78/x
  3. Step 3: Cross multiply
    198,193.70x = 297,335.99 × 85,892.78
  4. Step 4: Simplify right side
    198,193.70x = 25,539,012,859.01
  5. Step 5: Solve for x
    x = 25,539,012,859.01/198,193.70
  6. Step 6: Final answer
    x = 128,858.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.